Design of Low Pass Chebyshev and High Pass Chebyshev Filter is performed using Scilab. The input specifications are specified by the user:
(1) Pass band Attenuation (Ap) (2) Stop band Attenuation (As )
(3) Pass band Frequency (Fp) in Hz (4) Stop band Frequency (Fs) in Hz
(5) Sampling Frequency in Hz
The poles for both the filters lie inside the unit circle, hence both are stable filters.
The order of the filters can always be increased for higher accuracy.
Ripples are observed in magnitude spectrum at Pass Band. Hence its Chebyshev-I filter.
The observed and calculated values of Ap and As were found approximately same.
https://drive.google.com/open?id=0Bzfvoo_rjoa8aDVISHdZY2dvdlE
(1) Pass band Attenuation (Ap) (2) Stop band Attenuation (As )
(3) Pass band Frequency (Fp) in Hz (4) Stop band Frequency (Fs) in Hz
(5) Sampling Frequency in Hz
The poles for both the filters lie inside the unit circle, hence both are stable filters.
The order of the filters can always be increased for higher accuracy.
Ripples are observed in magnitude spectrum at Pass Band. Hence its Chebyshev-I filter.
The observed and calculated values of Ap and As were found approximately same.
https://drive.google.com/open?id=0Bzfvoo_rjoa8aDVISHdZY2dvdlE
The Order of filter in chebyshev is less
ReplyDeleteThe number of valley points and peaks in the passband give the order of the filter
ReplyDeleteif flat response is required then butterworth and if less order is desired then chebyshev filter
ReplyDeletein chebyshev filter order required is less compare to butterworth.but there are ripples are observed in magnitude response
ReplyDeleteyes chebyshev is preferable sometimes
ReplyDeletechebyshev is monotonic in stopband.
ReplyDeleteyes when it is monotonic in stopband it is chebyshev1 and when monotonic in stopband it is chebyshev2
ReplyDelete